Question

1. The client company data from the Decision Dilemma reveal that 155 employees worked one of four types of positions. Shown here again is the raw values matrix (also called a contingency table) with the frequency counts for each category and for subtotals and totals containing a breakdown of these employees by type of position and by sex. 1 1 1 1 COMPANY HUMAN RESOURCE DATA Sex Male Female Managerial 8 3 Professional 31 13 5217 Clerical 922 100 55 155 Type 1 of Position Technical 1 1 1 If an employee of the company is selected randomly, a. Represent the above raw data matrix in a probability matrix format b. what is the probability that the employee is Male or a Clerical worker? c. what is the probability that the worker is either technical or Professional? + d. What is the probability that the worker is either a professional or a clerical?

Answer 1

Aust Male femala Managerial professional technical clerical Male Femala Managenial|.058065 0.01935 Technica! (0.335487 6109672 professional 0.2 - 0.883871 clerical 10.058065 10.141935 a) P(A or B) = P(A) + PIB) - P(A) and B) male or clerical worker = (100 +33-9) 155 7 (183-9) list = (1249/15 120081, 6) PCtechnical or profesional = (69 444) liss 15 0.729037

- () either professional of denial = (44+31) Jess 2 (75)/1s5 Tz 0.48387